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A car traveling at a certain constant speed takes 2 seconds

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Re: A car traveling at a certain constant speed takes 2 seconds  [#permalink]

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New post 09 Nov 2018, 09:58
The speed is mentioned in kilometers per hour but the difference is mentioned in seconds. So we convert speed into kms per second by dividing 75 by 3600

Since Speed = distance/time or time = distance/speed (distance is 1 kms) we have time = 1/(75/3600) or t = 48 seconds.

Since the car takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. we have t = 48 + 2 = 50 seconds.

Now speed = distance/ time. First we convert time of 50 seconds in hours by divding by 3600 to get 50/3600

Therefore speed = 1/(50/3600) = 3600/50 = 72 (Ans B)
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Re: A car traveling at a certain constant speed takes 2 seconds  [#permalink]

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New post 09 Nov 2018, 10:27
RadhaKrishnan wrote:
A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?

A. 71.5
B. 72
C. 72.5
D. 73
E. 73.5


Extra time taken = 2 sec = 2/3600 hour = 1/1800 hour

Time taken to travel 1 km at 75 km/hr = 1/75 hour

Time taken for car = 1/75 +1/1800 = (24 + 1)/1800 = 25/1800 = 1/72 hour

Speed = distance/time = 1/(1/72) = 72 km/hr

Answer choice B

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Re: A car traveling at a certain constant speed takes 2 seconds &nbs [#permalink] 09 Nov 2018, 10:27

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